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424822920 = 233513925469
BaseRepresentation
bin11001010100100…
…100100010001000
31002121101020111020
4121110210202020
51332223313140
6110053232440
713345635534
oct3124444210
91077336436
10424822920
111a888a825
12ba332720
136a023012
14405c6bc4
15274686d0
hex19524888

424822920 has 64 divisors (see below), whose sum is σ = 1283688000. Its totient is φ = 112466688.

The previous prime is 424822901. The next prime is 424822921. The reversal of 424822920 is 29228424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (424822921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3946 + ... + 29414.

It is an arithmetic number, because the mean of its divisors is an integer number (20057625).

Almost surely, 2424822920 is an apocalyptic number.

424822920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424822920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641844000).

424822920 is an abundant number, since it is smaller than the sum of its proper divisors (858865080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424822920 is a wasteful number, since it uses less digits than its factorization.

424822920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25622 (or 25618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 424822920 is about 20611.2328597782. The cubic root of 424822920 is about 751.7428623262.

The spelling of 424822920 in words is "four hundred twenty-four million, eight hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 25469 50938 76407 101876 127345 152814 203752 254690 305628 382035 509380 611256 764070 1018760 1528140 3056280 3540191 7080382 10620573 14160764 17700955 21241146 28321528 35401910 42482292 53102865 70803820 84964584 106205730 141607640 212411460 424822920